Pure spinor integration from the collating formula
Abstract
We use the technique developed by Becchi and Imbimbo to construct a well-defined BRST-invariant path integral formulation of pure spinor amplitudes. The space of pure spinors can be viewed from the algebraic geometry point of view as a collection of open sets where the constraints can be solved and a set of free and independent variables can be defined. On the intersections of those open sets, the functional measure jumps and one has to add boundary terms to construct a well-defined path integral. The result is the definition of the pure spinor integration measure constructed in terms of differential forms on each single patch.
- Publication:
-
Nuclear Physics B
- Pub Date:
- August 2011
- DOI:
- 10.1016/j.nuclphysb.2011.04.001
- arXiv:
- arXiv:1009.3874
- Bibcode:
- 2011NuPhB.849..675G
- Keywords:
-
- High Energy Physics - Theory
- E-Print:
- 22 pages